6012111006 has 64 divisors (see below), whose sum is σ = 14593996800. Its totient is φ = 1819454400.

The previous prime is 6012110989. The next prime is 6012111029. The reversal of 6012111006 is 6001112106.

It is a super-2 number, since 2×6012111006² = 72290957496932664072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 6012111006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 474291 + ... + 486801.

It is an arithmetic number, because the mean of its divisors is an integer number (228031200).

Almost surely, 2^6012111006 is an apocalyptic number.

6012111006 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6012111006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7296998400).

6012111006 is an abundant number, since it is smaller than the sum of its proper divisors (8581885794).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6012111006 is a wasteful number, since it uses less digits than its factorization.

6012111006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13342 (or 13336 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 6012111006 is about 77537.8037217975. The cubic root of 6012111006 is about 1818.3423910448.

The spelling of 6012111006 in words is "six billion, twelve million, one hundred eleven thousand, six".